Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints

DOI10.4208/NMTMA.OA-2019-0016zbMath1463.65376OpenAlexW3011466809MaRDI QIDQ5143947

Yue Shen, Chang Jin

Publication date: 14 January 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2019-0016

zbMATH Keywords

optimal control problema priori error estimatesfourth-order elliptic equationnonconforming Crouzeix-Raviart elementLagrange elementdecoupled mixed element method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical methods for variational inequalities and related problems (65K15) PDE constrained optimization (numerical aspects) (49M41)

Related Items (2)

Galerkin spectral approximation for optimal control problem of a fourth-order equation with L²-norm control constraint ⋮ Mixed virtual element approximation of a fourth order optimal control problem

This page was built for publication: Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints